Solve a combined inequality that is a conjunction of two linear equalities. 1.) solve for n. -1<9+n<17

2.) solve for x. -2<8x-12<_36

Step-by-step explanation:

1. Subtract 9:

  -10 < n < 8

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2. Add 12, then divide by 8:

  10 < 8x ≤ 48

  10/8 < x ≤ 6

  5/4 < x ≤ 6 . . . . . with the fraction reduced

The rules of equality allow us the do these operations, provided that we do them to all parts of the compound inequality. That is, when we say "subtract 9", we mean ...

  -1 -9 < 9 +n -9 < 17 -9

This simplifies to the inequality we show above:

  -10 < n < 8

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.